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Finding the Third Proportional to 66,514 and 144,665

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Solution

The third proportional to 66,514 and 144,665 is: 314,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514 : 144,665 = 144,665 : x
  2. Step 2: Convert to fraction form
    66,514/144,665 = 144,665/x
  3. Step 3: Cross multiply
    66,514x = 144,665 × 144,665
  4. Step 4: Simplify right side
    66,514x = 20,927,962,225
  5. Step 5: Solve for x
    x = 20,927,962,225/66,514
  6. Step 6: Final answer
    x = 314,639.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.